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Please show your work and box answers 6. (25 points) At one moment in time, t1, a mass on a spring has displacement from equilibrium

Please show your work and box answers

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6. (25 points) At one moment in time, t1, a mass on a spring has displacement from equilibrium $(t1) = 1cm, and velocity 11031) = 70.2cm/s. After some time, At, has passed the mass has :r(t1 + At) = 0.8cm, v(t1 + At) = 1.9cm/s. a. (15 points) What is the angular frequency of this springmass system? b. (10 points) The same spring-mass system is now submerged into glycerin, which lightly clamps the oscillation with an effective coefcient of damping of b = 0.02 kg/ s. You also measure the spring constant, k = 1N /m. Assuming the mass starts at its positive amplitude, A, how many oscillations will take place before the new amplitude of oscillation is A / 3'? If you did not nd the angular frequency in the previous part, leave your answer in terms of it

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